To find the difference in height of the parasail, we start by identifying the heights at the two different times:
- Initial height: \( \frac{1}{20} \) kilometers
- Final height: \( \frac{3}{20} \) kilometers
Next, we calculate the difference in height:
\[ \text{Difference in height} = \text{Final height} - \text{Initial height} = \frac{3}{20} - \frac{1}{20} \]
\[ = \frac{3 - 1}{20} = \frac{2}{20} = \frac{1}{10} \text{ kilometers} \]
Now, let's check the provided options:
- 7100 kilometers
- Start Fraction 7 over 100 End Fraction kilometers \( = \frac{7}{100} = 0.07 \) kilometers
- 3100 kilometers
- Start Fraction 3 over 100 End Fraction kilometers \( = \frac{3}{100} = 0.03 \) kilometers
- 150 kilometers
- Start Fraction 1 over 50 End Fraction kilometers \( = \frac{1}{50} = 0.02 \) kilometers
- 120 kilometers
None of the options correctly state the difference of \( \frac{1}{10} \) kilometers, which is equivalent to \( \frac{10}{100} = 0.1 \) kilometers.
The correct simplification of the height difference in terms of fractions is \( \frac{1}{10} \) kilometers, which is not listed among the provided choices.